Game Object: orientation

[ cosine of the angle of the world X-axis to the game object x-axis,
cosine of the angle of the world X-axis to the game object y-axis,
cosine of the angle of the world X-axis to the game object z-axis ]

Y-axis vector:

[ cosine of the angle of the world Y-axis to the game object x-axis,
cosine of the angle of the world Y-axis to the game object y-axis,
cosine of the angle of the world Y-axis to the game object z-axis ]

Z-axis vector:

[ cosine of the angle of the world Z-axis to the game object x-axis,
cosine of the angle of the world Z-axis to the game object y-axis,
cosine of the angle of the world Z-axis to the game object z-axis ]